I have S= {(1,1,0,1) (1,0,-1,0) (1,1,0,2)} its one of the subset and second it T=(adsbygoogle = window.adsbygoogle || []).push({});

{(x,y,z,2x-y+3z)}

If you were to use Gram-Schmidt method to find the orthogoan basis for T who would you processed?

I really don't understand this concept.

I know from T , the hyperplane is 2x-y+3z so the cordinates are (2,-1,3,0) form one vector

and I know that from S only vector v1 and V2 are orhtogonal as their dot product = 0

I know you start by v1=w1 and I have formula but what I am not sure of which vectors do you work with? i.e. only all three vectors from S or your v1 = (2,-1,3,0)

can someone please clarify this to me? thanks

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# Gram-Schmidt Method for orthogonal basis

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